[Home]
[
News]
[ Events]
[ People]
[ Research]
[ Education]
[Visitor Info]
[UCSD Only]
[Admin]
Stability and monotonicity in the low order discretizations of Biot's model of poroelasticity
Ludmil Zikatanov
Penn State University
Abstract:
We consider a finite element discretizations of the Biot's model in poroelasticity with lowest order (MINI and stabilized P1-P1) elements. We show convergence of discrete schemes which are implicit in time and use these types of elements in space. We also address the issue related to the presence of non-physical oscillations in the pressure approximations for low permeabilities and/or small time steps and present numerical results confirming the monotone behavior of two stabilized schemes. This is a joint work with Carmen Rodrigo, Francisco Gaspar (Univ. Zaragoza) and Xiaozhe Hu (Tufts).
Thursday, October 29, 2015
11:00AM AP&M 2402
News]
[ Events]
[ People]
[ Research]
[ Education]
[Visitor Info]
[UCSD Only]
[Admin]
Directors:
Randolph E. Bank
Philip E. Gill
Michael Holst
Administrative Contact:
[ Click to Send Email ]
Randolph E. Bank
Philip E. Gill
Michael Holst
Administrative Contact:
[ Click to Send Email ]
Ludmil Zikatanov
Penn State University
Abstract:
We consider a finite element discretizations of the Biot's model in poroelasticity with lowest order (MINI and stabilized P1-P1) elements. We show convergence of discrete schemes which are implicit in time and use these types of elements in space. We also address the issue related to the presence of non-physical oscillations in the pressure approximations for low permeabilities and/or small time steps and present numerical results confirming the monotone behavior of two stabilized schemes. This is a joint work with Carmen Rodrigo, Francisco Gaspar (Univ. Zaragoza) and Xiaozhe Hu (Tufts).
Thursday, October 29, 2015
11:00AM AP&M 2402